A politician selects a random sample of 306 voters from her state. For each voter, she records the region in which they live and their political affiliation. She would like to know if there is convincing evidence that the region in which voters live is associated with their political affiliation. Let = 0.05. The observed and expected counts are displayed in the tables.Observed counts: Expected counts:
Answer
A
Since the P-value is less than 0.05, the politician should reject the null hypothesis. There is convincing evidence that there is an association between region and party affiliation.
B
Since the P-value is less than 0.05, the politician should fail to reject the null hypothesis. There is not convincing evidence that there is an association between region and party affiliation.
C
Since the P-value is greater than 0.05, the politician should reject the null hypothesis. There is convincing evidence that there is an association between region and party affiliation.
D
Since the P-value is greater than 0.05, the politician should fail to reject the null hypothesis. There is not convincing evidence that there is an association between region and party affiliation.